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Finding the Fourth Proportional to 314.15, 433.68 and 209.30

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Solution

The fourth proportional to 314.15, 433.68 and 209.30 is: 288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.15 : 433.68 = 209.30 : x
  2. Step 2: Convert to fraction form
    314.15/433.68 = 209.30/x
  3. Step 3: Cross multiply
    314.15x = 433.68 × 209.30
  4. Step 4: Simplify right side
    314.15x = 90,769.22
  5. Step 5: Solve for x
    x = 90,769.22/314.15
  6. Step 6: Final answer
    x = 288.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.